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mariarad [96]
4 years ago
14

Please help, any help is appriciated :)

Mathematics
1 answer:
Vesna [10]4 years ago
7 0

Answer:

(a) |ab| if a<0 and b>0

since the modulus of a number no matter whether it is positive or negative gives the result as a positive number.

if a<0 and b>0 then ab<0

this implies ab is a negative number and modulus of negative number comes out to be positive term.

<em>eg:</em> if a= -2 and b=3

Then ab= -6

and  |ab|=|-6|=6

(b)  |ab| if a>0 and b>0.

since both a and b are positive numbers i.e. strictly greater than zero.

hence, ab>0

eg: if a=5 and b=2

then ab=10

and |ab|=|10|=10

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When their report cards came back, Pete, Chris, and Dina realized that the number of A's they each received was in the ratio 4:2
prohojiy [21]

Answer:

The number of A's Dina got = 5/11 × 77 = 385 /11 = 35

Step-by-step explanation:

The number of A's Pete , Chris and Dina received are in the ratio of 4:2:5.

Let the total number of A's = y

Total from ratio = 4 + 2 + 5 = 11

chris A's = 2/11 × y  

pete's A's = 2/11 × y + 14 = 4/11 × y

pete's A's

2/11 y + 14 = 4/11 y

14 = 4/11 (y) - 2/11 (y)

14 = 2/11 (y)

cross multiply

2y = 14 × 11

divide both sides by 2

y = 154/2

y = 77

Total number of A's = 77

The number of A's Dina got = 5/11 × 77 = 385 /11 = 35

5 0
4 years ago
Which of the following sets of coordinates represents a triangle that is congruent to the one graphed below?
Lesechka [4]

Answer:

its c because it is I know

3 0
4 years ago
Read 2 more answers
652.3 divided by 10 using the power of ten rules
nlexa [21]
652.3/10 to the power of 1

= 65.23

:))
3 0
3 years ago
Need help please and thank u​
liberstina [14]
Point A ( -1/2,1/4)
Point B (-2 1/2,-1 1/2)
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4 0
4 years ago
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A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D
Alika [10]
The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b. 

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

(y\times a)\times (y\times b)=9x
y^2ab=9x
y^2x=9x
y=3

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is 5 \times 8=40

And so then x=40

And then after the dilation, it would be 9x=9(40) = 360

We could check it another way too. Since we said the scale factor is 3, then:

( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360

So basically 15 by 24 is the new dimensions :)

6 0
3 years ago
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